1. Department of Mathematical Sciences, University of Nevada Las Vegas, Box 454020, Las Vegas, NV 89154-4020, United States;2. Database Marketing, Seminole Hard Rock Gaming, 5223 Orient Rd, Tampa, FL 33610, United States
Abstract:
In this paper we consider a class of logistic-type problems for the p-Laplacian in the whole space. Using minimization we prove existence of a positive solution and its behavior at infinity. We also consider questions of uniqueness and sharp estimates at infinity.